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Simplifying -2(m + 4) = 14 + -3m Reorder the terms: -2(4 + m) = 14 + -3m (4 * -2 + m * -2) = 14 + -3m (-8 + -2m) = 14 + -3m Solving -8 + -2m = 14 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -8 + -2m + 3m = 14 + -3m + 3m Combine like terms: -2m + 3m = 1m -8 + 1m = 14 + -3m + 3m Combine like terms: -3m + 3m = 0 -8 + 1m = 14 + 0 -8 + 1m = 14 Add '8' to each side of the equation. -8 + 8 + 1m = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 1m = 14 + 8 1m = 14 + 8 Combine like terms: 14 + 8 = 22 1m = 22 Divide each side by '1'. m = 22 Simplifying m = 22
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